Packet 2: Tossup 11

If this statement holds, the standalone M1, M2, and M3 terms on the right-hand sides of Euler’s equations all vanish to zero. (15[1])Universally, this statement is implied by the fact that all four fundamental forces are central forces. Precession (-5[1])that is not “induced” (-5[2])by a force (15[1])occurs because this (-5[1])statement (15[1])holds while the direction (15[1])of (-5[1])omega changes. (15[1]-5[1])Isaac Newton (15[2])showed (15[2])that this statement implies orbits sweep out equal (15[1]-5[1])(*) areas (10[3]-5[2])in equal (10[1])times (10[3]-5[1])in (-5[1])his proof (-5[1])of (10[1]-5[1])Kepler’s (10[2])second law. This statement, which holds for systems with no net (-5[1])external torque, (10[1])explains why (-5[1])ice skaters (10[1])spin faster upon (-5[1])drawing (10[1])in their arms. (10[3])For 10 points, (10[1]-5[1])name (10[1])this law stating that the quantity “I omega” (10[1])stays constant. (10[1]0[1])■END■ (10[6]0[7])

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